%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : GEO278+1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n010.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 07:15:03 AM UTC 2026 % Result : Theorem 57.82s 18.81s % Output : CNFRefutation 57.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : GEO278+1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.10/10.37 % Computer : n010.cluster.edu % 0.10/10.37 % Model : x86_64 x86_64 % 0.10/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/10.37 % Memory : 8046.5625MB % 0.10/10.37 % OS : Linux 6.8.0-71-generic % 0.10/10.37 % CPULimit : 300 % 0.10/10.37 % WCLimit : 300 % 0.10/10.37 % DateTime : Fri Sep 25 13:13:27 UTC 2026 % 0.10/10.37 % CPUTime : % 0.10/10.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 57.82/18.81 % SZS status Theorem for theBenchmark.p % 57.82/18.81 % SZS output start CNFRefutation for theBenchmark.p % 57.82/18.81 fof(and(pred(comma_conjunct2(the(231)), 0), and(pred(comma_conjunct1(the(231)), 0), pred(the(231), 0))), axiom, (ron(vd1096,vd1102) & (rcenter(vd1089,vd1102) & rcircle(vd1102)))). % 57.82/18.81 fof(pred(229, 0), axiom, rpoint(vd1096)). % 57.82/18.81 fof(qu(cond(axiom(182), 0), imp(cond(axiom(182), 0))), axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : (((vf(X2,X0) = vf(X2,X1) & (ron(X1,X4) & (ron(X0,X3) & (rcenter(X2,X4) & (rcenter(X2,X3) & (? [X5] : ((X1 = X5 & rpoint(X5))) & ? [X6] : ((X0 = X6 & rpoint(X6))))))))) => X3 = X4))). % 57.82/18.81 fof(qu(theu(the(231), 1), imp(the(231))), conjecture, ! [X0] : (((ron(vd1096,X0) & (rcenter(vd1089,X0) & rcircle(X0))) => X0 = vd1102))). % 57.82/18.81 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((ron(vd1096,X0) & (rcenter(vd1089,X0) & rcircle(X0))) => X0 = vd1102)), inference(negate_conjecture, [status(cth)], [qu(theu(the(231), 1), imp(the(231)))])). % 57.82/18.81 cnf(c0, plain, ron(vd1096,vd1102), inference(clausification, [status(esa)], [and(pred(comma_conjunct2(the(231)), 0), and(pred(comma_conjunct1(the(231)), 0), pred(the(231), 0)))])). % 57.82/18.81 cnf(c1, plain, rcenter(vd1089,vd1102), inference(clausification, [status(esa)], [and(pred(comma_conjunct2(the(231)), 0), and(pred(comma_conjunct1(the(231)), 0), pred(the(231), 0)))])). % 57.82/18.81 cnf(c9, plain, rpoint(vd1096), inference(clausification, [status(esa)], [pred(229, 0)])). % 57.82/18.81 cnf(c77, plain, ~rpoint(X0) | ~ron(X1,X2) | ~rpoint(X3) | ~ron(X4,X5) | X2 = X5 | ~rcenter(X6,X5) | X4 != X3 | X1 != X0 | ~rcenter(X6,X2) | vf(X6,X1) != vf(X6,X4), inference(clausification, [status(esa)], [qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))])). % 57.82/18.81 cnf(c280, plain, ron(vd1096,sK749), inference(clausification, [status(esa)], [negated_conjecture])). % 57.82/18.81 cnf(c281, plain, rcenter(vd1089,sK749), inference(clausification, [status(esa)], [negated_conjecture])). % 57.82/18.81 cnf(c283, plain, sK749 != vd1102, inference(clausification, [status(esa)], [negated_conjecture])). % 57.82/18.81 cnf(d0, plain, X0 = X1 | X2 != X3 | X2 != X4 | ~ron(X2,X1) | ~ron(X2,X0) | ~rcenter(X5,X0) | ~rcenter(X5,X1) | ~rpoint(X4) | ~rpoint(X3), inference(equality_resolution, [status(thm)], [c77])). % 57.82/18.81 cnf(d1, plain, X0 != X1 | X2 = X3 | ~ron(X0,X3) | ~ron(X0,X2) | ~rcenter(X4,X3) | ~rcenter(X4,X2) | ~rpoint(X1) | ~rpoint(X0), inference(equality_resolution, [status(thm)], [d0])). % 57.82/18.81 cnf(d2, plain, X0 = X1 | ~ron(X2,X1) | ~ron(X2,X0) | ~rcenter(X3,X1) | ~rcenter(X3,X0) | ~rpoint(X2) | ~rpoint(X2), inference(equality_resolution, [status(thm)], [d1])). % 57.82/18.81 cnf(d3, plain, sK749 = X0 | ~ron(X1,X0) | ~ron(X1,sK749) | ~rcenter(vd1089,X0) | ~rpoint(X1), inference(resolution, [status(thm)], [d2,c281])). % 57.82/18.81 cnf(d4, plain, sK749 = vd1102 | ~ron(X0,vd1102) | ~ron(X0,sK749) | ~rpoint(X0), inference(resolution, [status(thm)], [d3,c1])). % 57.82/18.81 cnf(d5, plain, ~ron(X0,vd1102) | ~ron(X0,sK749) | ~rpoint(X0), inference(resolution, [status(thm)], [c283,d4])). % 57.82/18.81 cnf(d6, plain, ~ron(vd1096,vd1102) | ~rpoint(vd1096), inference(resolution, [status(thm)], [d5,c280])). % 57.82/18.81 cnf(d7, plain, ~rpoint(vd1096), inference(resolution, [status(thm)], [c0,d6])). % 57.82/18.81 cnf(d8, plain, $false, inference(resolution, [status(thm)], [c9,d7])). % 57.82/18.81 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------