%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRA007+1 : TPTP v9.3.1. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:18:43 AM UTC 2026
% Result : Theorem 76.74s 35.03s
% Output : CNFRefutation 76.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA007+1 : TPTP v9.3.1. Bugfixed v3.2.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/8.41 % Computer : n006.cluster.edu
% 0.17/8.41 % Model : x86_64 x86_64
% 0.17/8.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/8.41 % Memory : 8046.5625MB
% 0.17/8.41 % OS : Linux 6.8.0-71-generic
% 0.17/8.42 % CPULimit : 300
% 0.17/8.42 % WCLimit : 300
% 0.17/8.42 % DateTime : Fri Sep 25 13:47:49 UTC 2026
% 0.17/8.42 % CPUTime :
% 0.17/8.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 76.74/35.03 % SZS status Theorem for theBenchmark.p
% 76.74/35.03 % SZS output start CNFRefutation for theBenchmark.p
% 76.74/35.03 fof(complete_properties, axiom, (complete => ! [X0] : ! [X1] : (((vertex(X0) & (vertex(X1) & X0 != X1)) => ? [X2] : ((edge(X2) & ~(((X0 = 'head$uof'(X2) & X1 = 'tail$uof'(X2)) <=> (X1 = 'head$uof'(X2) & X0 = 'tail$uof'(X2)))))))))).
% 76.74/35.03 fof(on_path_properties, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((path(X0,X1,X2) & 'on$upath'(X3,X2)) => (edge(X3) & ('in$upath'('head$uof'(X3),X2) & 'in$upath'('tail$uof'(X3),X2)))))).
% 76.74/35.03 fof(in_path_properties, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((path(X0,X1,X2) & 'in$upath'(X3,X2)) => (vertex(X3) & ? [X4] : (('on$upath'(X4,X2) & (X3 = 'head$uof'(X4) | X3 = 'tail$uof'(X4)))))))).
% 76.74/35.03 fof(sequential_defn, axiom, ! [X0] : ! [X1] : ((sequential(X0,X1) <=> (edge(X0) & (edge(X1) & (X0 != X1 & 'head$uof'(X0) = 'tail$uof'(X1))))))).
% 76.74/35.03 fof(precedes_defn, axiom, ! [X0] : ! [X1] : ! [X2] : ((path(X1,X2,X0) => ! [X3] : ! [X4] : ((('on$upath'(X3,X0) & ('on$upath'(X4,X0) & (sequential(X3,X4) | ? [X5] : ((sequential(X3,X5) & precedes(X5,X4,X0)))))) => precedes(X3,X4,X0)))))).
% 76.74/35.03 fof(precedes_properties, axiom, ! [X0] : ! [X1] : ! [X2] : ((path(X1,X2,X0) => ! [X3] : ! [X4] : ((precedes(X3,X4,X0) => ('on$upath'(X3,X0) & ('on$upath'(X4,X0) & ~((sequential(X3,X4) <=> ? [X5] : ((sequential(X3,X5) & precedes(X5,X4,X0)))))))))))).
% 76.74/35.03 fof(shortest_path_defn, axiom, ! [X0] : ! [X1] : ! [X2] : (('shortest$upath'(X0,X1,X2) <=> (path(X0,X1,X2) & (X0 != X1 & ! [X3] : ((path(X0,X1,X3) => 'less$uor$uequal'('length$uof'(X2),'length$uof'(X3))))))))).
% 76.74/35.03 fof(shortest_path_properties, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ((('shortest$upath'(X0,X1,X4) & precedes(X2,X3,X4)) => (~? [X5] : (('tail$uof'(X5) = 'tail$uof'(X2) & 'head$uof'(X5) = 'head$uof'(X3))) & ~precedes(X3,X2,X4))))).
% 76.74/35.03 fof(back_edge, conjecture, (complete => ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ((('shortest$upath'(X0,X1,X4) & precedes(X2,X3,X4)) => ? [X5] : ((edge(X5) & ('tail$uof'(X5) = 'head$uof'(X3) & 'head$uof'(X5) = 'tail$uof'(X2)))))))).
% 76.74/35.03 fof(negated_conjecture, negated_conjecture, ~((complete => ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ((('shortest$upath'(X0,X1,X4) & precedes(X2,X3,X4)) => ? [X5] : ((edge(X5) & ('tail$uof'(X5) = 'head$uof'(X3) & 'head$uof'(X5) = 'tail$uof'(X2)))))))), inference(negate_conjecture, [status(cth)], [back_edge])).
% 76.74/35.03 cnf(c18, plain, ~vertex(X0) | X1 = X0 | edge(sK23(X0,X1)) | ~vertex(X1) | ~complete, inference(clausification, [status(esa)], [complete_properties])).
% 76.74/35.03 cnf(c20, plain, X0(sK23(X1,X2),X1,X2) | ~vertex(X1) | X2 = X1 | ~vertex(X2) | ~complete | 'tail$uof'(sK23(X1,X2)) = X1, inference(clausification, [status(esa)], [complete_properties])).
% 76.74/35.03 cnf(c21, plain, 'head$uof'(sK23(X0,X1)) = X1 | X2(sK23(X0,X1),X0,X1) | ~vertex(X0) | X1 = X0 | ~vertex(X1) | ~complete, inference(clausification, [status(esa)], [complete_properties])).
% 76.74/35.03 cnf(c22, plain, ~X0(X1,X2,X3) | 'tail$uof'(X1) = X3, inference(clausification, [status(esa)], [complete_properties])).
% 76.74/35.03 cnf(c23, plain, ~X0(X1,X2,X3) | 'head$uof'(X1) = X2, inference(clausification, [status(esa)], [complete_properties])).
% 76.74/35.03 cnf(c38, plain, ~'on$upath'(X0,X1) | ~path(X2,X3,X1) | edge(X0), inference(clausification, [status(esa)], [on_path_properties])).
% 76.74/35.03 cnf(c39, plain, ~'on$upath'(X0,X1) | ~path(X2,X3,X1) | 'in$upath'('tail$uof'(X0),X1), inference(clausification, [status(esa)], [on_path_properties])).
% 76.74/35.03 cnf(c40, plain, ~'on$upath'(X0,X1) | ~path(X2,X3,X1) | 'in$upath'('head$uof'(X0),X1), inference(clausification, [status(esa)], [on_path_properties])).
% 76.74/35.03 cnf(c41, plain, ~'in$upath'(X0,X1) | ~path(X2,X3,X1) | vertex(X0), inference(clausification, [status(esa)], [in_path_properties])).
% 76.74/35.03 cnf(c48, plain, ~edge(X0) | 'tail$uof'(X1) != 'head$uof'(X0) | X1 = X0 | ~edge(X1) | sequential(X0,X1), inference(clausification, [status(esa)], [sequential_defn])).
% 76.74/35.03 cnf(c49, plain, ~'on$upath'(X0,X1) | ~sequential(X2,X0) | ~path(X3,X4,X1) | precedes(X2,X0,X1) | ~'on$upath'(X2,X1), inference(clausification, [status(esa)], [precedes_defn])).
% 76.74/35.03 cnf(c51, plain, ~path(X0,X1,X2) | ~precedes(X3,X4,X2) | 'on$upath'(X3,X2), inference(clausification, [status(esa)], [precedes_properties])).
% 76.74/35.03 cnf(c54, plain, ~path(X0,X1,X2) | ~precedes(X3,X4,X2) | 'on$upath'(X4,X2), inference(clausification, [status(esa)], [precedes_properties])).
% 76.74/35.03 cnf(c58, plain, ~'shortest$upath'(X0,X1,X2) | path(X0,X1,X2), inference(clausification, [status(esa)], [shortest_path_defn])).
% 76.74/35.03 cnf(c63, plain, ~precedes(X0,X1,X2) | ~'shortest$upath'(X3,X4,X2) | 'tail$uof'(X0) != 'tail$uof'(X5) | 'head$uof'(X1) != 'head$uof'(X5), inference(clausification, [status(esa)], [shortest_path_properties])).
% 76.74/35.03 cnf(c64, plain, ~precedes(X0,X1,X2) | ~'shortest$upath'(X3,X4,X2) | ~precedes(X1,X0,X2), inference(clausification, [status(esa)], [shortest_path_properties])).
% 76.74/35.03 cnf(c65, plain, complete, inference(clausification, [status(esa)], [negated_conjecture])).
% 76.74/35.03 cnf(c66, plain, precedes(sK75,sK76,sK77), inference(clausification, [status(esa)], [negated_conjecture])).
% 76.74/35.03 cnf(c67, plain, 'shortest$upath'(sK73,sK74,sK77), inference(clausification, [status(esa)], [negated_conjecture])).
% 76.74/35.03 cnf(c68, plain, ~edge(X0) | 'tail$uof'(sK75) != 'head$uof'(X0) | 'head$uof'(sK76) != 'tail$uof'(X0), inference(clausification, [status(esa)], [negated_conjecture])).
% 76.74/35.03 cnf(d0, plain, path(sK73,sK74,sK77), inference(resolution, [status(thm)], [c58,c67])).
% 76.74/35.03 cnf(d1, plain, vertex(X0) | ~'in$upath'(X0,sK77), inference(resolution, [status(thm)], [c41,d0])).
% 76.74/35.03 cnf(d2, plain, ~'on$upath'(X0,sK77) | 'in$upath'('head$uof'(X0),sK77), inference(resolution, [status(thm)], [c40,d0])).
% 76.74/35.03 cnf(d3, plain, ~'on$upath'(X0,sK77) | vertex('head$uof'(X0)), inference(resolution, [status(thm)], [d2,d1])).
% 76.74/35.03 cnf(d4, plain, ~path(X0,X1,sK77) | 'on$upath'(sK76,sK77), inference(resolution, [status(thm)], [c54,c66])).
% 76.74/35.03 cnf(d5, plain, 'on$upath'(sK76,sK77), inference(resolution, [status(thm)], [d4,d0])).
% 76.74/35.03 cnf(d6, plain, vertex('head$uof'(sK76)), inference(resolution, [status(thm)], [d5,d3])).
% 76.74/35.03 cnf(d7, plain, X0 = X1 | 'tail$uof'(sK23(X1,X0)) = X1 | ~vertex(X1) | ~vertex(X0) | 'Ts20'(sK23(X1,X0),X1,X0), inference(resolution, [status(thm)], [c65,c20])).
% 76.74/35.03 cnf(d8, plain, X0 = X1 | 'tail$uof'(sK23(X1,X0)) = X1 | ~vertex(X1) | ~vertex(X0) | 'head$uof'(sK23(X1,X0)) = X1, inference(resolution, [status(thm)], [d7,c23])).
% 76.74/35.03 cnf(d9, plain, ~'on$upath'(X0,sK77) | 'in$upath'('tail$uof'(X0),sK77), inference(resolution, [status(thm)], [c39,d0])).
% 76.74/35.03 cnf(d10, plain, ~'on$upath'(X0,sK77) | vertex('tail$uof'(X0)), inference(resolution, [status(thm)], [d9,d1])).
% 76.74/35.03 cnf(d11, plain, ~path(X0,X1,sK77) | 'on$upath'(sK75,sK77), inference(resolution, [status(thm)], [c51,c66])).
% 76.74/35.03 cnf(d12, plain, 'on$upath'(sK75,sK77), inference(resolution, [status(thm)], [d11,d0])).
% 76.74/35.03 cnf(d13, plain, vertex('tail$uof'(sK75)), inference(resolution, [status(thm)], [d12,d10])).
% 76.74/35.03 cnf(d14, plain, 'tail$uof'(sK75) = X0 | 'tail$uof'(sK23(X0,'tail$uof'(sK75))) = X0 | 'head$uof'(sK23(X0,'tail$uof'(sK75))) = X0 | ~vertex(X0), inference(resolution, [status(thm)], [d13,d8])).
% 76.74/35.03 cnf(d15, plain, 'tail$uof'(sK23('head$uof'(sK76),'tail$uof'(sK75))) = 'head$uof'(sK76) | 'tail$uof'(sK75) = 'head$uof'(sK76) | 'head$uof'(sK23('head$uof'(sK76),'tail$uof'(sK75))) = 'head$uof'(sK76), inference(resolution, [status(thm)], [d14,d6])).
% 76.74/35.03 cnf(d16, plain, 'head$uof'(X0) != 'head$uof'(sK76) | 'tail$uof'(X1) != 'tail$uof'(sK23('head$uof'(sK76),'tail$uof'(sK75))) | ~precedes(X1,X0,X2) | ~'shortest$upath'(X3,X4,X2) | 'tail$uof'(sK23('head$uof'(sK76),'tail$uof'(sK75))) = 'head$uof'(sK76) | 'tail$uof'(sK75) = 'head$uof'(sK76), inference(superposition, [status(thm)], [d15,c63])).
% 76.74/35.03 cnf(d17, plain, X0 = X1 | edge(sK23(X1,X0)) | ~vertex(X1) | ~vertex(X0), inference(resolution, [status(thm)], [c65,c18])).
% 76.74/35.03 cnf(d18, plain, X0 = X1 | 'tail$uof'(sK23(X1,X0)) = X1 | ~vertex(X1) | ~vertex(X0) | 'tail$uof'(sK23(X1,X0)) = X0, inference(resolution, [status(thm)], [d7,c22])).
% 76.74/35.03 cnf(d19, plain, 'tail$uof'(sK75) = X0 | 'tail$uof'(sK23(X0,'tail$uof'(sK75))) = X0 | 'tail$uof'(sK23(X0,'tail$uof'(sK75))) = 'tail$uof'(sK75) | ~vertex(X0), inference(resolution, [status(thm)], [d13,d18])).
% 76.74/35.03 cnf(d20, plain, 'tail$uof'(sK23('head$uof'(sK76),'tail$uof'(sK75))) = 'head$uof'(sK76) | 'tail$uof'(sK23('head$uof'(sK76),'tail$uof'(sK75))) = 'tail$uof'(sK75) | 'tail$uof'(sK75) = 'head$uof'(sK76), inference(resolution, [status(thm)], [d19,d6])).
% 76.74/35.03 cnf(d21, plain, 'head$uof'(sK76) != 'head$uof'(sK76) | 'tail$uof'(sK75) != 'head$uof'(sK23('head$uof'(sK76),'tail$uof'(sK75))) | ~edge(sK23('head$uof'(sK76),'tail$uof'(sK75))) | 'tail$uof'(sK23('head$uof'(sK76),'tail$uof'(sK75))) = 'tail$uof'(sK75) | 'tail$uof'(sK75) = 'head$uof'(sK76), inference(superposition, [status(thm)], [d20,c68])).
% 76.74/35.03 cnf(d22, plain, X0 = X1 | 'head$uof'(sK23(X1,X0)) = X0 | ~vertex(X1) | ~vertex(X0) | 'Ts20'(sK23(X1,X0),X1,X0), inference(resolution, [status(thm)], [c65,c21])).
% 76.74/35.03 cnf(d23, plain, X0 = X1 | 'head$uof'(sK23(X1,X0)) = X0 | ~vertex(X1) | ~vertex(X0) | 'tail$uof'(sK23(X1,X0)) = X0, inference(resolution, [status(thm)], [d22,c22])).
% 76.74/35.03 cnf(d24, plain, 'tail$uof'(sK75) = X0 | 'tail$uof'(sK23(X0,'tail$uof'(sK75))) = 'tail$uof'(sK75) | 'head$uof'(sK23(X0,'tail$uof'(sK75))) = 'tail$uof'(sK75) | ~vertex(X0), inference(resolution, [status(thm)], [d13,d23])).
% 76.74/35.03 cnf(d25, plain, 'tail$uof'(sK23('head$uof'(sK76),'tail$uof'(sK75))) = 'tail$uof'(sK75) | 'tail$uof'(sK75) = 'head$uof'(sK76) | 'head$uof'(sK23('head$uof'(sK76),'tail$uof'(sK75))) = 'tail$uof'(sK75), inference(resolution, [status(thm)], [d24,d6])).
% 76.74/35.03 cnf(d26, plain, 'tail$uof'(sK75) != 'tail$uof'(sK75) | 'tail$uof'(sK23('head$uof'(sK76),'tail$uof'(sK75))) = 'tail$uof'(sK75) | 'tail$uof'(sK75) = 'head$uof'(sK76) | 'head$uof'(sK76) != 'head$uof'(sK76) | ~edge(sK23('head$uof'(sK76),'tail$uof'(sK75))) | 'tail$uof'(sK23('head$uof'(sK76),'tail$uof'(sK75))) = 'tail$uof'(sK75) | 'tail$uof'(sK75) = 'head$uof'(sK76), inference(superposition, [status(thm)], [d25,d21])).
% 76.74/35.03 cnf(d27, plain, 'tail$uof'(sK23('head$uof'(sK76),'tail$uof'(sK75))) = 'tail$uof'(sK75) | 'tail$uof'(sK75) != 'tail$uof'(sK75) | 'tail$uof'(sK75) = 'head$uof'(sK76) | ~edge(sK23('head$uof'(sK76),'tail$uof'(sK75))), inference(equality_resolution, [status(thm)], [d26])).
% 76.74/35.03 cnf(d28, plain, 'tail$uof'(sK23('head$uof'(sK76),'tail$uof'(sK75))) = 'tail$uof'(sK75) | 'tail$uof'(sK75) = 'head$uof'(sK76) | ~edge(sK23('head$uof'(sK76),'tail$uof'(sK75))), inference(equality_resolution, [status(thm)], [d27])).
% 76.74/35.03 cnf(d29, plain, 'tail$uof'(sK23('head$uof'(sK76),'tail$uof'(sK75))) = 'tail$uof'(sK75) | 'tail$uof'(sK75) = 'head$uof'(sK76) | 'tail$uof'(sK75) = 'head$uof'(sK76) | ~vertex('head$uof'(sK76)) | ~vertex('tail$uof'(sK75)), inference(resolution, [status(thm)], [d28,d17])).
% 76.74/35.03 cnf(d30, plain, 'tail$uof'(sK23('head$uof'(sK76),'tail$uof'(sK75))) = 'tail$uof'(sK75) | 'tail$uof'(sK75) = 'head$uof'(sK76) | ~vertex('head$uof'(sK76)), inference(resolution, [status(thm)], [d13,d29])).
% 76.74/35.03 cnf(d31, plain, 'tail$uof'(sK23('head$uof'(sK76),'tail$uof'(sK75))) = 'tail$uof'(sK75) | 'tail$uof'(sK75) = 'head$uof'(sK76), inference(resolution, [status(thm)], [d6,d30])).
% 76.74/35.03 cnf(d32, plain, 'tail$uof'(X0) != 'tail$uof'(sK75) | 'tail$uof'(sK23('head$uof'(sK76),'tail$uof'(sK75))) = 'head$uof'(sK76) | 'tail$uof'(sK75) = 'head$uof'(sK76) | 'head$uof'(X1) != 'head$uof'(sK76) | ~precedes(X0,X1,X2) | ~'shortest$upath'(X3,X4,X2) | 'tail$uof'(sK75) = 'head$uof'(sK76), inference(superposition, [status(thm)], [d31,d16])).
% 76.74/35.03 cnf(d33, plain, 'tail$uof'(X0) != 'tail$uof'(sK75) | 'tail$uof'(sK23('head$uof'(sK76),'tail$uof'(sK75))) = 'head$uof'(sK76) | 'tail$uof'(sK75) = 'head$uof'(sK76) | ~precedes(X0,sK76,X1) | ~'shortest$upath'(X2,X3,X1), inference(equality_resolution, [status(thm)], [d32])).
% 76.74/35.03 cnf(d34, plain, 'tail$uof'(sK23('head$uof'(sK76),'tail$uof'(sK75))) = 'head$uof'(sK76) | 'tail$uof'(sK75) = 'head$uof'(sK76) | ~precedes(sK75,sK76,X0) | ~'shortest$upath'(X1,X2,X0), inference(equality_resolution, [status(thm)], [d33])).
% 76.74/35.03 cnf(d35, plain, 'tail$uof'(sK23('head$uof'(sK76),'tail$uof'(sK75))) = 'head$uof'(sK76) | 'tail$uof'(sK75) = 'head$uof'(sK76) | ~precedes(sK75,sK76,sK77), inference(resolution, [status(thm)], [d34,c67])).
% 76.74/35.03 cnf(d36, plain, 'tail$uof'(sK23('head$uof'(sK76),'tail$uof'(sK75))) = 'head$uof'(sK76) | 'tail$uof'(sK75) = 'head$uof'(sK76), inference(resolution, [status(thm)], [c66,d35])).
% 76.74/35.03 cnf(d37, plain, 'tail$uof'(sK75) = 'head$uof'(sK76) | 'tail$uof'(sK75) = 'head$uof'(sK76) | 'tail$uof'(sK75) = 'head$uof'(sK76), inference(superposition, [status(thm)], [d31,d36])).
% 76.74/35.03 cnf(d38, plain, 'tail$uof'(X0) != 'tail$uof'(sK75) | X0 = sK76 | sequential(sK76,X0) | ~edge(sK76) | ~edge(X0), inference(superposition, [status(thm)], [d37,c48])).
% 76.74/35.03 cnf(d39, plain, edge(X0) | ~'on$upath'(X0,sK77), inference(resolution, [status(thm)], [c38,d0])).
% 76.74/35.03 cnf(d40, plain, edge(sK76), inference(resolution, [status(thm)], [d5,d39])).
% 76.74/35.03 cnf(d41, plain, X0 = sK76 | 'tail$uof'(X0) != 'tail$uof'(sK75) | sequential(sK76,X0) | ~edge(X0), inference(resolution, [status(thm)], [d40,d38])).
% 76.74/35.03 cnf(d42, plain, sK75 = sK76 | sequential(sK76,sK75) | ~edge(sK75), inference(equality_resolution, [status(thm)], [d41])).
% 76.74/35.03 cnf(d43, plain, edge(sK75), inference(resolution, [status(thm)], [d12,d39])).
% 76.74/35.03 cnf(d44, plain, sK75 = sK76 | sequential(sK76,sK75), inference(resolution, [status(thm)], [d43,d42])).
% 76.74/35.03 cnf(d45, plain, ~sequential(X0,X1) | ~'on$upath'(X0,sK77) | ~'on$upath'(X1,sK77) | precedes(X0,X1,sK77), inference(resolution, [status(thm)], [c49,d0])).
% 76.74/35.03 cnf(d46, plain, ~precedes(X0,X1,sK77) | ~precedes(X1,X0,sK77), inference(resolution, [status(thm)], [c64,c67])).
% 76.74/35.03 cnf(d47, plain, ~precedes(sK76,sK75,sK77), inference(resolution, [status(thm)], [d46,c66])).
% 76.74/35.03 cnf(d48, plain, ~sequential(sK76,sK75) | ~'on$upath'(sK75,sK77) | ~'on$upath'(sK76,sK77), inference(resolution, [status(thm)], [d47,d45])).
% 76.74/35.03 cnf(d49, plain, ~sequential(sK76,sK75) | ~'on$upath'(sK76,sK77), inference(resolution, [status(thm)], [d12,d48])).
% 76.74/35.03 cnf(d50, plain, ~sequential(sK76,sK75), inference(resolution, [status(thm)], [d5,d49])).
% 76.74/35.03 cnf(d51, plain, sK75 = sK76, inference(resolution, [status(thm)], [d50,d44])).
% 76.74/35.03 cnf(d52, plain, precedes(sK75,sK75,sK77), inference(demodulation, [status(thm)], [c66,d51])).
% 76.74/35.03 cnf(d53, plain, ~precedes(sK75,sK75,sK77), inference(demodulation, [status(thm)], [d47,d51])).
% 76.74/35.03 cnf(d54, plain, $false, inference(resolution, [status(thm)], [d53,d52])).
% 76.74/35.03 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------