%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : PUZ012_10 : TPTP v9.0.0. Released v8.2.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Sat Jun 21 05:23:08 AM UTC 2025 % Result : Satisfiable 0.11s 0.38s % Output : Model 0.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : PUZ012_10 : TPTP v9.0.0. Released v8.2.0. % 0.06/0.11 % Command : run_E %s %d THM % 0.11/0.32 % Computer : n010.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Fri Jun 20 02:41:26 EDT 2025 % 0.11/0.32 % CPUTime : % 0.11/0.38 % SZS status Satisfiable % 0.11/0.38 % SZS output start Model % 0.11/0.38 tff(box_val_2_type, type, ( % 0.11/0.38 box_val_2: box)). % 0.11/0.38 tff(boxc_type, type, ( % 0.11/0.38 boxc: box)). % 0.11/0.38 tff(box_val_0_type, type, ( % 0.11/0.38 box_val_0: box)). % 0.11/0.38 tff(boxa_type, type, ( % 0.11/0.38 boxa: box)). % 0.11/0.38 tff(box_val_1_type, type, ( % 0.11/0.38 box_val_1: box)). % 0.11/0.38 tff(boxb_type, type, ( % 0.11/0.38 boxb: box)). % 0.11/0.38 tff(fruit_val_0_type, type, ( % 0.11/0.38 fruit_val_0: fruit)). % 0.11/0.38 tff(apples_type, type, ( % 0.11/0.38 apples: fruit)). % 0.11/0.38 tff(fruit_val_1_type, type, ( % 0.11/0.38 fruit_val_1: fruit)). % 0.11/0.38 tff(bananas_type, type, ( % 0.11/0.38 bananas: fruit)). % 0.11/0.38 tff(fruit_val_2_type, type, ( % 0.11/0.38 fruit_val_2: fruit)). % 0.11/0.38 tff(oranges_type, type, ( % 0.11/0.38 oranges: fruit)). % 0.11/0.38 tff(equal_boxes_type, type, ( % 0.11/0.38 equal_boxes: ( box * box ) > $o)). % 0.11/0.38 tff(equal_fruits_type, type, ( % 0.11/0.38 equal_fruits: ( fruit * fruit ) > $o)). % 0.11/0.38 tff(contains_type, type, ( % 0.11/0.38 contains: ( box * fruit ) > $o)). % 0.11/0.38 tff(label_type, type, ( % 0.11/0.38 label: ( box * fruit ) > $o)). % 0.11/0.38 tff(formula1, axiom, % 0.11/0.38 boxc = box!val!2). % 0.11/0.38 tff(formula2, axiom, % 0.11/0.38 boxa = box!val!0). % 0.11/0.38 tff(formula3, axiom, % 0.11/0.38 boxb = box!val!1). % 0.11/0.38 tff(formula4, axiom, % 0.11/0.38 apples = fruit!val!0). % 0.11/0.38 tff(formula5, axiom, % 0.11/0.38 bananas = fruit!val!1). % 0.11/0.38 tff(formula6, axiom, % 0.11/0.38 oranges = fruit!val!2). % 0.11/0.38 tff(formula7, axiom, % 0.11/0.38 ![X0: box, X1: box] : (equal_boxes(X0, X1) <=> (((X1 = box!val!0) & (~(X1 = box!val!1)) & (X0 = box!val!0) & (~(X0 = box!val!1))) | ((~(X1 = box!val!0)) & (~(X1 = box!val!1)) & (~(X0 = box!val!0)) & (~(X0 = box!val!1))) | ((X1 = box!val!1) & (X0 = box!val!1))))). % 0.11/0.38 tff(formula8, axiom, % 0.11/0.38 ![X0: fruit, X1: fruit] : (equal_fruits(X0, X1) <=> (((~(X1 = fruit!val!0)) & (~(X1 = fruit!val!2)) & (~(X0 = fruit!val!0)) & (~(X0 = fruit!val!2))) | ((X1 = fruit!val!0) & (~(X1 = fruit!val!2)) & (X0 = fruit!val!0) & (~(X0 = fruit!val!2))) | ((X1 = fruit!val!2) & (X0 = fruit!val!2))))). % 0.11/0.38 tff(formula9, axiom, % 0.11/0.38 ![X0: box, X1: fruit] : (contains(X0, X1) <=> (((~(X1 = box!val!0)) & (~(X1 = box!val!1)) & (X0 = fruit!val!2)) | ((X1 = box!val!1) & (X0 = fruit!val!0) & (~(X0 = fruit!val!2))) | ((X1 = box!val!0) & (~(X1 = box!val!1)) & (~(X0 = fruit!val!0)) & (~(X0 = fruit!val!2)))))). % 0.11/0.38 tff(formula10, axiom, % 0.11/0.38 ![X0: box, X1: fruit] : (label(X0, X1) <=> ((~((~(X1 = box!val!0)) & (~(X1 = box!val!1)) & (X0 = fruit!val!2))) & (~((X1 = box!val!0) & (~(X1 = box!val!1)) & (~(X0 = fruit!val!0)) & (~(X0 = fruit!val!2)))) & (~((X1 = box!val!1) & (X0 = fruit!val!0) & (~(X0 = fruit!val!2))))))). % 0.11/0.38 % SZS output end Model % 0.11/0.38 % E exiting %------------------------------------------------------------------------------